Spin mapping, phase diagram, and collective modes in double layer quantum Hall systems at $\nu =2$

Abstract

An exact spin mapping is identified to simplify the recently proposed hard-core boson description (Demler and Das Sarma, Phys. Rev. Lett., to be published) of the bilayer quantum Hall system at filling factor 2. The effective spin model describes an easy-plane ferromagnet subject to an external Zeeman field. The phase diagram of this effective model is determined exactly and found to agree with the approximate calculation of Demler and Das Sarma, while the Goldstone-mode spectrum, order parameter stiffness and Kosterlitz-Thouless temperature in the canted antiferromagnetic phase are computed approximately.

4 pages with 2 figures included

References in corpus (7)

• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Quantum Ferromagnetism and Phase Transitions in Double-Layer Quantum Hall Systems
• Phase Transition in ν=2 Bilayer Quantum Hall State
• Double-layer quantum Hall antiferromagnetism at filling fraction nu=2/(odd integer)
• Spin-Excitation-Instability-Induced Quantum Phase Transitions in Double-Layer Quantum Hall Systems
• Canted antiferromagnetic and spin singlet quantum Hall states in double-layer systems
• Spin Bose Glass Phase in Bilayer Quantum Hall Systems at $\nu =2$

Cited by in corpus (4)

• SU(4) spin waves in the $\nu =\pm 1$ quantum Hall ferromagnet in graphene
• Interaction and coherence in 2D bilayers
• The Study of Goldstone Modes in $\nu$=2 Bilayer Quantum Hall Systems
• Spin Supercurrent in the Canted Antiferromagnetic Phase